MaplePrimes Questions

> restart:
> m:=2; k:=1.0931; a:=k-m; b:=k+m-1;
m := 2
k := 1.0931
a := -0.9069
b := 2.0931
> z:=(k*m)/10^(0.1*10);
z := 0.2186200000
> simplify(((10^(0.1*yo))^((b-a+2*p-1)/2)*z^((b-a+2*p+1)/2)*GAMMA((1-(b-a+2*p))/2))/(p!*GAMMA(p-a+1)*GAMMA(1+((1-(b-a+2*p))/2))));
1 / 
---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) exp(
GAMMA(p + 1.906900000) 

-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(
\
-1. - 1. p)/
> [seq(limit(.3183098861*sin(3.141592654*p+3.141592654)*exp(-3.040840432-1.520420216*p+.2302585095*yo)*(exp(.2302585095*yo))^p*GAMMA(-1.-1.*p)/GAMMA(p+1.906900000),p=k),k=0..10)]
Warning, inserted missing semicolon at end of statement, ...=k),k=0..10)];
[ / 1 / 
[limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) 
[ \GAMMA(p + 1.906900000)


exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 / 
GAMMA(-1. - 1. p)/, p = 0|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \ 
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 1|, 
/

/ 1 / 
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) 
\GAMMA(p + 1.906900000)


exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 / 
GAMMA(-1. - 1. p)/, p = 2|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \ 
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 3|, 
/

/ 1 / 
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) 
\GAMMA(p + 1.906900000)


exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 / 
GAMMA(-1. - 1. p)/, p = 4|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \ 
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 5|, 
/

/ 1 / 
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) 
\GAMMA(p + 1.906900000)


exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 / 
GAMMA(-1. - 1. p)/, p = 6|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \ 
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 7|, 
/

/ 1 / 
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) 
\GAMMA(p + 1.906900000)


exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \ / 1 / 
GAMMA(-1. - 1. p)/, p = 8|, limit|---------------------- \0.3183098861 sin(
/ \GAMMA(p + 1.906900000)

3.141592654 p + 3.141592654) exp(-3.040840432 - 1.520420216 p

p \ \ 
+ 0.2302585095 yo) (exp(0.2302585095 yo)) GAMMA(-1. - 1. p)/, p = 9|, 
/

/ 1 / 
limit|---------------------- \0.3183098861 sin(3.141592654 p + 3.141592654) 
\GAMMA(p + 1.906900000)


exp(-3.040840432 - 1.520420216 p + 0.2302585095 yo) (exp(0.2302585095 yo))

\ \]
GAMMA(-1. - 1. p)/, p = 10|]
/]

 

 

 

 

 

why the solution is in limit approaches to form??? need to have a closed form expression. any help..????

I am trying to perform the following manipulation (This is a minimum working example).

 

a < b  < c;
(1)*2;

Error, invalid terms in product: a < b and b < c

 Can anyone tell if it is possible to manipulate inequalities exactly as it is the case with equations?

 

I have two Reissner Nordstrom black holes that are near extreme. How do I show they move? 

When i copy expression and past it in word, i can change the size of the picture whitout loosing the detials.

How can i export the expression to a file, such that when i will open it in word i could change the size without loosing details? much thnks :)

Dear Maple users,

My problem is as follows:

I have a factor base [2,3,5,7,11,33,34,35,36,37,38,39,40]

The numbers from 2 till 11 are primes, the rest is not. 

Then I have to factor (H+c1)(H+c2) in numbers of the factor base , where c1 and c2 go from 1 to some pre-defined limit. H=32 in my case.
And then I have to put the powers of the numbers of the factor base in a matrix. For example: (H+1)(H+1)=33² but also (H+1)(H+1)=3²*11².

That will become in matrix form [0 , 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ] but also (!) [0 , 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 ].

This is not what I want! I want no double representations....

What I want is that (H+c1)(H+c2) should be represented in primes in the matrix if possible and else just represented as the other numbers.

 

hope you guys can help me!

Hi,

 

I have a system of equations containing curls, divergence and gradients of variables. 

How can I extract the coefficients of the equations (i.e. coefficients of d/dt rho, d/dx p) and form a matrix?

thanks.   

Dear all,

I have a question, why is the output of the inverse Laplace transformation if the signal is multiplied by itself not just convoluted in time domain:

restart:
with(inttrans):
u0(s):=laplace(u0(t),t,s):
ul(s):=laplace(ul(t),t,s):

invlaplace(u0(s)*ul(s),s,t);
invlaplace(u0(s)*u0(s),s,t);

 

Thanks!

 

hi

i am trying to solve nonlinear system of equations>

But i faced problems with fsolve command and solve command

appreciate your efforts

thank you.

i attached the problem if any one can help meto_ask.mw

resatart;

resatart

(1)

E[1]:=471.018201448812350417026549714*C[2]*C[1]+148.215735866021516352269641351*C[3]*C[1]+1819.06587325966981030289478684*C[1]^3+520.398873394086389608807266267*C[1]^2+91.6935836202883451116448236302*C[1]+50.4730912279207745584225849550*C[2]+19.9085633544913263914456592743*C[3]+7.37047428400435090736231078968+2058.68551751777751319606573790*C[1]^2*C[2]+538.947230507659865581021915944*C[1]^2*C[3]+5845.71206131980239307198520604*C[1]^3*C[2]+69.7127022912194568273754946252*C[2]*C[3]+714.578012051731012130317887974*C[2]^2*C[1]+1335.12741025874305723396688959*C[3]*C[1]^3+12157.6789376307684367951252086*C[1]^4*C[2]+2649.25449662999887750280740574*C[2]^2*C[1]^2+14295.0784862597862660994822740*C[1]^8+15419.2846919327017114194783308*C[1]^7+12988.7517416642139784208462738*C[1]^6+16.8382038872893957093383440000*C[2]^4+70.8332628196190412620305577015*C[2]^3+1.44270946696121179778587859413*C[3]^3+4510.00238293949012248750841678*C[1]^4+8603.52635510176910780764444620*C[1]^5+98.8104905773476764461233724605*C[2]^2+10.1537285012728093021569041975*C[3]^2+982.222581518989031760243574949*C[1]^11+4638.21478259707435511949025320*C[1]^10+10052.6606516341018431728672421*C[1]^9+407.687063314179709424921418616*C[3]*C[2]*C[1]+75.7719174928022814213736862098*C[3]^2*C[2]*C[1]+25.2573058309340935640075160001*C[3]*C[2]^3+6.31432645773352351256040203496*C[1]*C[3]^3+12.6286529154670467820037580001*C[2]^2*C[3]^2+2.10477548591117446366729300002*C[2]*C[3]^3+211.344764831208915814670185548*C[3]^2*C[1]^3+7.20005467320229588757253538206*C[1]^2*C[3]^3+111.061430002472320297142331967*C[1]*C[2]^4+238.500386718071412970815287708*C[1]^4*C[3]^2+2470.41109018725090594289626356*C[2]^3*C[1]^3+245.201283148587317451118521393*C[2]^4*C[1]^2+181.129142851463591068444931825*C[2]^4*C[1]^3+2988.37811797198976000003713722*C[3]*C[1]^6+109.721226223930092622823355221*C[1]^5*C[3]^2+11719.3084513103578461807709227*C[1]^5*C[2]^2+2768.20160910310649927384469736*C[1]^4*C[2]^3+565.318306286272203162846540832*C[1]^8*C[3]+10932.5561693883776137371116117*C[1]^8*C[2]+2904.27246127876533797534297274*C[1]^7*C[2]^2+1952.53821736667546565020861980*C[3]*C[1]^7+8861.99977348975008001821282156*C[2]^2*C[1]^6+1254.10257521815148306369855874*C[2]^3*C[1]^5+19097.0760464300655744068743926*C[1]^7*C[2]+2811.03926218004500859025906710*C[1]^9*C[2]+57.4530755155979171964227079426*C[1]*C[3]^2+836.065308595115722315610440362*C[3]*C[2]^2*C[1]^2+168.144436791995138074477654505*C[1]^2*C[2]*C[3]^2+111.061430002472320297142331967*C[3]*C[1]*C[2]^3+27.7653575006180800742855829918*C[1]*C[2]^2*C[3]^2+3287.26031145537499942195550694*C[3]*C[1]^4*C[2]+127.200206249638084450380203222*C[1]^3*C[2]*C[3]^2+1244.40467444431430442109001683*C[3]*C[1]^3*C[2]^2+122.600641574293658725559260697*C[3]*C[2]^3*C[1]^2+2976.40437278655359156395744743*C[3]*C[1]^5*C[2]+704.866518858564769916472506595*C[3]*C[1]^4*C[2]^2+1138.98062679722733273662076856*C[3]*C[1]^6*C[2]+2445.22760310248377117380837984*C[1]^3*C[2]*C[3]+1302.58340353182418292173788075*C[1]^2*C[2]*C[3]+358.002894560559015938580075092*C[1]*C[2]^2*C[3]+1346.85403641174851926917778882*C[2]^3*C[1]^2+21853.3314580455402045658443233*C[1]^6*C[2]+3064.67804343975531590307429378*C[1]^5*C[3]+18831.8659547488267980067894851*C[1]^5*C[2]+2386.63766423133333668246261663*C[1]^4*C[3]+10051.2504836101574266428345548*C[1]^4*C[2]^2+6283.05695591453291326103369848*C[1]^3*C[2]^2+76.6041006874638884531740720781*C[2]^2*C[3]+136.001112450833566039453512948*C[1]^2*C[3]^2+463.432730811777094292148621626*C[1]*C[2]^3+23.4791535727496075066511538019*C[2]*C[3]^2;

7.37047428400435090736231078968+407.687063314179709424921418616*C[3]*C[2]*C[1]+75.7719174928022814213736862098*C[3]^2*C[2]*C[1]+836.065308595115722315610440362*C[3]*C[2]^2*C[1]^2+168.144436791995138074477654505*C[1]^2*C[2]*C[3]^2+111.061430002472320297142331967*C[3]*C[1]*C[2]^3+27.7653575006180800742855829918*C[1]*C[2]^2*C[3]^2+3287.26031145537499942195550694*C[3]*C[1]^4*C[2]+127.200206249638084450380203222*C[1]^3*C[2]*C[3]^2+1244.40467444431430442109001683*C[3]*C[1]^3*C[2]^2+122.600641574293658725559260697*C[3]*C[2]^3*C[1]^2+2976.40437278655359156395744743*C[3]*C[1]^5*C[2]+704.866518858564769916472506595*C[3]*C[1]^4*C[2]^2+1138.98062679722733273662076856*C[3]*C[1]^6*C[2]+2445.22760310248377117380837984*C[1]^3*C[2]*C[3]+1302.58340353182418292173788075*C[1]^2*C[2]*C[3]+358.002894560559015938580075092*C[1]*C[2]^2*C[3]+471.018201448812350417026549714*C[2]*C[1]+148.215735866021516352269641351*C[3]*C[1]+2058.68551751777751319606573790*C[1]^2*C[2]+538.947230507659865581021915944*C[1]^2*C[3]+5845.71206131980239307198520604*C[1]^3*C[2]+69.7127022912194568273754946252*C[2]*C[3]+714.578012051731012130317887974*C[2]^2*C[1]+1335.12741025874305723396688959*C[3]*C[1]^3+12157.6789376307684367951252086*C[1]^4*C[2]+2649.25449662999887750280740574*C[2]^2*C[1]^2+25.2573058309340935640075160001*C[3]*C[2]^3+6.31432645773352351256040203496*C[1]*C[3]^3+12.6286529154670467820037580001*C[2]^2*C[3]^2+2.10477548591117446366729300002*C[2]*C[3]^3+211.344764831208915814670185548*C[3]^2*C[1]^3+7.20005467320229588757253538206*C[1]^2*C[3]^3+111.061430002472320297142331967*C[1]*C[2]^4+238.500386718071412970815287708*C[1]^4*C[3]^2+2470.41109018725090594289626356*C[2]^3*C[1]^3+245.201283148587317451118521393*C[2]^4*C[1]^2+181.129142851463591068444931825*C[2]^4*C[1]^3+2988.37811797198976000003713722*C[3]*C[1]^6+109.721226223930092622823355221*C[1]^5*C[3]^2+11719.3084513103578461807709227*C[1]^5*C[2]^2+2768.20160910310649927384469736*C[1]^4*C[2]^3+565.318306286272203162846540832*C[1]^8*C[3]+10932.5561693883776137371116117*C[1]^8*C[2]+2904.27246127876533797534297274*C[1]^7*C[2]^2+1952.53821736667546565020861980*C[3]*C[1]^7+8861.99977348975008001821282156*C[2]^2*C[1]^6+1254.10257521815148306369855874*C[2]^3*C[1]^5+19097.0760464300655744068743926*C[1]^7*C[2]+2811.03926218004500859025906710*C[1]^9*C[2]+57.4530755155979171964227079426*C[1]*C[3]^2+1346.85403641174851926917778882*C[2]^3*C[1]^2+21853.3314580455402045658443233*C[1]^6*C[2]+3064.67804343975531590307429378*C[1]^5*C[3]+18831.8659547488267980067894851*C[1]^5*C[2]+2386.63766423133333668246261663*C[1]^4*C[3]+10051.2504836101574266428345548*C[1]^4*C[2]^2+6283.05695591453291326103369848*C[1]^3*C[2]^2+76.6041006874638884531740720781*C[2]^2*C[3]+136.001112450833566039453512948*C[1]^2*C[3]^2+463.432730811777094292148621626*C[1]*C[2]^3+23.4791535727496075066511538019*C[2]*C[3]^2+14295.0784862597862660994822740*C[1]^8+15419.2846919327017114194783308*C[1]^7+12988.7517416642139784208462738*C[1]^6+16.8382038872893957093383440000*C[2]^4+70.8332628196190412620305577015*C[2]^3+1.44270946696121179778587859413*C[3]^3+8603.52635510176910780764444620*C[1]^5+10.1537285012728093021569041975*C[3]^2+982.222581518989031760243574949*C[1]^11+4638.21478259707435511949025320*C[1]^10+10052.6606516341018431728672421*C[1]^9+50.4730912279207745584225849550*C[2]+91.6935836202883451116448236302*C[1]+19.9085633544913263914456592743*C[3]+1819.06587325966981030289478684*C[1]^3+520.398873394086389608807266267*C[1]^2+98.8104905773476764461233724605*C[2]^2+4510.00238293949012248750841678*C[1]^4

(2)

E[2]:=197.620981154695352892246744921*C[2]*C[1]+69.7127022912194568273754946252*C[3]*C[1]+686.228505839259171065355245966*C[1]^3+235.509100724406175208513274857*C[1]^2+50.4730912279207745584225849550*C[1]+26.5447511393217685219275456990*C[2]+13.2723755696608842609637728496*C[3]+4.91364952266956727157487385979+714.578012051731012130317887974*C[1]^2*C[2]+203.843531657089854712460709308*C[1]^2*C[3]+1766.16966441999925166853827049*C[1]^3*C[2]+27.0766093367274914724184111932*C[2]*C[3]+212.499788458857123786091673104*C[2]^2*C[1]+434.194467843941394307245960251*C[3]*C[1]^3+3141.52847795726645663051684924*C[1]^4*C[2]+695.149096217665641438222932439*C[2]^2*C[1]^2+2387.13450580375819680085929907*C[1]^8+3121.90449400650574350940633190*C[1]^7+3138.64432579147113300113158085*C[1]^6+7.69445049045979625485801916864*C[2]^3+.961806311307474531857252396085*C[3]^3+1461.42801532995059826799630151*C[1]^4+2431.53578752615368735902504171*C[1]^5+27.0766093367274914724184111932*C[2]^2+6.76915233418187286810460279831*C[3]^2+281.103926218004500859025906710*C[1]^10+1214.72846326537529041523462352*C[1]^9+153.208201374927776906348144156*C[3]*C[2]*C[1]+25.2573058309340935640075160002*C[3]^2*C[2]*C[1]+2.10477548591117446366729300002*C[1]*C[3]^3+56.0481455973317126914925515018*C[3]^2*C[1]^3+31.8000515624095211125950508054*C[1]^4*C[3]^2+326.935044198116423268158028524*C[2]^3*C[1]^3+496.067395464425598593992907905*C[3]*C[1]^6+1660.92096546186389956430681841*C[1]^5*C[2]^2+181.129142851463591068444931825*C[1]^4*C[2]^3+726.068115319691334493835743184*C[1]^8*C[2]+162.711518113889618962374395509*C[3]*C[1]^7+627.051287609075741531849279370*C[2]^2*C[1]^6+2531.99993528278573714806080616*C[1]^7*C[2]+23.4791535727496075066511538019*C[1]*C[3]^2+166.592145003708480445713497950*C[3]*C[2]^2*C[1]^2+27.7653575006180800742855829918*C[1]^2*C[2]*C[3]^2+622.202337222157152210545008414*C[3]*C[1]^4*C[2]+122.600641574293658725559260697*C[3]*C[1]^3*C[2]^2+281.946607543425907966589002638*C[3]*C[1]^5*C[2]+557.376872396743814877073626908*C[1]^3*C[2]*C[3]+358.002894560559015938580075092*C[1]^2*C[2]*C[3]+75.7719174928022806920225480003*C[1]*C[2]^2*C[3]+222.122860004944640594284663933*C[2]^3*C[1]^2+3906.43615043678594872692364090*C[1]^6*C[2]+657.452062291074999884391101389*C[1]^5*C[3]+4020.50019344406297065713382194*C[1]^5*C[2]+611.306900775620942793452094961*C[1]^4*C[3]+1852.80831764043817945717219767*C[1]^4*C[2]^2+1346.85403641174851926917778882*C[1]^3*C[2]^2+11.5416757356896943822870287530*C[2]^2*C[3]+37.8859587464011407106868431049*C[1]^2*C[3]^2+67.3528155491575828373533760000*C[1]*C[2]^3+5.77083786784484719114351437650*C[2]*C[3]^2;

153.208201374927776906348144156*C[3]*C[2]*C[1]+25.2573058309340935640075160002*C[3]^2*C[2]*C[1]+166.592145003708480445713497950*C[3]*C[2]^2*C[1]^2+27.7653575006180800742855829918*C[1]^2*C[2]*C[3]^2+622.202337222157152210545008414*C[3]*C[1]^4*C[2]+122.600641574293658725559260697*C[3]*C[1]^3*C[2]^2+281.946607543425907966589002638*C[3]*C[1]^5*C[2]+557.376872396743814877073626908*C[1]^3*C[2]*C[3]+358.002894560559015938580075092*C[1]^2*C[2]*C[3]+75.7719174928022806920225480003*C[1]*C[2]^2*C[3]+197.620981154695352892246744921*C[2]*C[1]+69.7127022912194568273754946252*C[3]*C[1]+714.578012051731012130317887974*C[1]^2*C[2]+203.843531657089854712460709308*C[1]^2*C[3]+1766.16966441999925166853827049*C[1]^3*C[2]+27.0766093367274914724184111932*C[2]*C[3]+212.499788458857123786091673104*C[2]^2*C[1]+434.194467843941394307245960251*C[3]*C[1]^3+3141.52847795726645663051684924*C[1]^4*C[2]+695.149096217665641438222932439*C[2]^2*C[1]^2+2.10477548591117446366729300002*C[1]*C[3]^3+56.0481455973317126914925515018*C[3]^2*C[1]^3+31.8000515624095211125950508054*C[1]^4*C[3]^2+326.935044198116423268158028524*C[2]^3*C[1]^3+496.067395464425598593992907905*C[3]*C[1]^6+1660.92096546186389956430681841*C[1]^5*C[2]^2+181.129142851463591068444931825*C[1]^4*C[2]^3+726.068115319691334493835743184*C[1]^8*C[2]+162.711518113889618962374395509*C[3]*C[1]^7+627.051287609075741531849279370*C[2]^2*C[1]^6+2531.99993528278573714806080616*C[1]^7*C[2]+23.4791535727496075066511538019*C[1]*C[3]^2+222.122860004944640594284663933*C[2]^3*C[1]^2+3906.43615043678594872692364090*C[1]^6*C[2]+657.452062291074999884391101389*C[1]^5*C[3]+4020.50019344406297065713382194*C[1]^5*C[2]+611.306900775620942793452094961*C[1]^4*C[3]+1852.80831764043817945717219767*C[1]^4*C[2]^2+1346.85403641174851926917778882*C[1]^3*C[2]^2+11.5416757356896943822870287530*C[2]^2*C[3]+37.8859587464011407106868431049*C[1]^2*C[3]^2+67.3528155491575828373533760000*C[1]*C[2]^3+5.77083786784484719114351437650*C[2]*C[3]^2+4.91364952266956727157487385979+2387.13450580375819680085929907*C[1]^8+3121.90449400650574350940633190*C[1]^7+3138.64432579147113300113158085*C[1]^6+7.69445049045979625485801916864*C[2]^3+.961806311307474531857252396085*C[3]^3+2431.53578752615368735902504171*C[1]^5+6.76915233418187286810460279831*C[3]^2+281.103926218004500859025906710*C[1]^10+1214.72846326537529041523462352*C[1]^9+26.5447511393217685219275456990*C[2]+50.4730912279207745584225849550*C[1]+13.2723755696608842609637728496*C[3]+686.228505839259171065355245966*C[1]^3+235.509100724406175208513274857*C[1]^2+27.0766093367274914724184111932*C[2]^2+1461.42801532995059826799630151*C[1]^4

(3)

E[3]:=69.7127022912194568273754946252*C[2]*C[1]+20.3074570025456186043138083950*C[3]*C[1]+179.649076835886621860340638648*C[1]^3+74.1078679330107581761348206757*C[1]^2+19.9085633544913263914456592743*C[1]+13.2723755696608842609637728496*C[2]+6.63618778483044213048188642478*C[3]+2.45682476133478363578743692990+203.843531657089854712460709308*C[1]^2*C[2]+57.4530755155979171964227079426*C[1]^2*C[3]+434.194467843941394307245960251*C[1]^3*C[2]+13.5383046683637457362092055966*C[2]*C[3]+76.6041006874638884531740720781*C[2]^2*C[1]+90.6674083005557106929690086320*C[3]*C[1]^3+611.306900775620942793452094961*C[1]^4*C[2]+179.001447280279507969290037546*C[2]^2*C[1]^2+244.067277170834433206276077475*C[1]^8+426.911159710284251428576733889*C[1]^7+510.779673906625885983845715630*C[1]^6+3.84722524522989812742900958432*C[2]^3+.480903155653737265928626198044*C[3]^3+333.781852564685764308491722397*C[1]^4+477.327532846266667336492523326*C[1]^5+13.5383046683637457362092055966*C[2]^2+3.38457616709093643405230139915*C[3]^2+62.8131451429191336847607267591*C[1]^9+46.9583071454992150133023076038*C[3]*C[2]*C[1]+6.31432645773352339100187900006*C[3]^2*C[2]*C[1]+7.20005467320229588757253538206*C[3]^2*C[1]^3+40.8668805247645529085197535656*C[2]^3*C[1]^3+36.5737420746433642076077850736*C[3]*C[1]^6+140.973303771712953983294501319*C[1]^5*C[2]^2+162.711518113889618962374395509*C[1]^7*C[2]+4.32812840088363539335763578239*C[1]*C[3]^2+27.7653575006180800742855829918*C[3]*C[2]^2*C[1]^2+63.6001031248190422251901016108*C[3]*C[1]^4*C[2]+112.096291194663425382985103004*C[1]^3*C[2]*C[3]+75.7719174928022814213736862098*C[1]^2*C[2]*C[3]+25.2573058309340935640075160002*C[1]*C[2]^2*C[3]+55.5307150012361601485711659834*C[2]^3*C[1]^2+496.067395464425598593992907905*C[1]^6*C[2]+95.4001546872285651883261150834*C[1]^5*C[3]+657.452062291074999884391101389*C[1]^5*C[2]+105.672382415604457907335092774*C[1]^4*C[3]+311.101168611078576105272504207*C[1]^4*C[2]^2+278.688436198371907438536813454*C[1]^3*C[2]^2+5.77083786784484719114351437650*C[2]^2*C[3]+9.47148968660028526884060305244*C[1]^2*C[3]^2+25.2573058309340935640075160001*C[1]*C[2]^3+2.88541893392242359557175718826*C[2]*C[3]^2;

46.9583071454992150133023076038*C[3]*C[2]*C[1]+6.31432645773352339100187900006*C[3]^2*C[2]*C[1]+27.7653575006180800742855829918*C[3]*C[2]^2*C[1]^2+63.6001031248190422251901016108*C[3]*C[1]^4*C[2]+112.096291194663425382985103004*C[1]^3*C[2]*C[3]+75.7719174928022814213736862098*C[1]^2*C[2]*C[3]+25.2573058309340935640075160002*C[1]*C[2]^2*C[3]+69.7127022912194568273754946252*C[2]*C[1]+20.3074570025456186043138083950*C[3]*C[1]+203.843531657089854712460709308*C[1]^2*C[2]+57.4530755155979171964227079426*C[1]^2*C[3]+434.194467843941394307245960251*C[1]^3*C[2]+13.5383046683637457362092055966*C[2]*C[3]+76.6041006874638884531740720781*C[2]^2*C[1]+90.6674083005557106929690086320*C[3]*C[1]^3+611.306900775620942793452094961*C[1]^4*C[2]+179.001447280279507969290037546*C[2]^2*C[1]^2+7.20005467320229588757253538206*C[3]^2*C[1]^3+40.8668805247645529085197535656*C[2]^3*C[1]^3+36.5737420746433642076077850736*C[3]*C[1]^6+140.973303771712953983294501319*C[1]^5*C[2]^2+162.711518113889618962374395509*C[1]^7*C[2]+4.32812840088363539335763578239*C[1]*C[3]^2+55.5307150012361601485711659834*C[2]^3*C[1]^2+496.067395464425598593992907905*C[1]^6*C[2]+95.4001546872285651883261150834*C[1]^5*C[3]+657.452062291074999884391101389*C[1]^5*C[2]+105.672382415604457907335092774*C[1]^4*C[3]+311.101168611078576105272504207*C[1]^4*C[2]^2+278.688436198371907438536813454*C[1]^3*C[2]^2+5.77083786784484719114351437650*C[2]^2*C[3]+9.47148968660028526884060305244*C[1]^2*C[3]^2+25.2573058309340935640075160001*C[1]*C[2]^3+2.88541893392242359557175718826*C[2]*C[3]^2+2.45682476133478363578743692990+244.067277170834433206276077475*C[1]^8+426.911159710284251428576733889*C[1]^7+510.779673906625885983845715630*C[1]^6+3.84722524522989812742900958432*C[2]^3+.480903155653737265928626198044*C[3]^3+477.327532846266667336492523326*C[1]^5+3.38457616709093643405230139915*C[3]^2+62.8131451429191336847607267591*C[1]^9+13.2723755696608842609637728496*C[2]+19.9085633544913263914456592743*C[1]+6.63618778483044213048188642478*C[3]+179.649076835886621860340638648*C[1]^3+74.1078679330107581761348206757*C[1]^2+13.5383046683637457362092055966*C[2]^2+333.781852564685764308491722397*C[1]^4

(4)

fsolve({E[1]=0, E[2]=0,E[3]=0});

fsolve({46.9583071454992150133023076038*C[3]*C[2]*C[1]+6.31432645773352339100187900006*C[3]^2*C[2]*C[1]+27.7653575006180800742855829918*C[3]*C[2]^2*C[1]^2+63.6001031248190422251901016108*C[3]*C[1]^4*C[2]+112.096291194663425382985103004*C[1]^3*C[2]*C[3]+75.7719174928022814213736862098*C[1]^2*C[2]*C[3]+25.2573058309340935640075160002*C[1]*C[2]^2*C[3]+69.7127022912194568273754946252*C[2]*C[1]+20.3074570025456186043138083950*C[3]*C[1]+203.843531657089854712460709308*C[1]^2*C[2]+57.4530755155979171964227079426*C[1]^2*C[3]+434.194467843941394307245960251*C[1]^3*C[2]+13.5383046683637457362092055966*C[2]*C[3]+76.6041006874638884531740720781*C[2]^2*C[1]+90.6674083005557106929690086320*C[3]*C[1]^3+611.306900775620942793452094961*C[1]^4*C[2]+179.001447280279507969290037546*C[2]^2*C[1]^2+7.20005467320229588757253538206*C[3]^2*C[1]^3+40.8668805247645529085197535656*C[2]^3*C[1]^3+36.5737420746433642076077850736*C[3]*C[1]^6+140.973303771712953983294501319*C[1]^5*C[2]^2+162.711518113889618962374395509*C[1]^7*C[2]+4.32812840088363539335763578239*C[1]*C[3]^2+55.5307150012361601485711659834*C[2]^3*C[1]^2+496.067395464425598593992907905*C[1]^6*C[2]+95.4001546872285651883261150834*C[1]^5*C[3]+657.452062291074999884391101389*C[1]^5*C[2]+105.672382415604457907335092774*C[1]^4*C[3]+311.101168611078576105272504207*C[1]^4*C[2]^2+278.688436198371907438536813454*C[1]^3*C[2]^2+5.77083786784484719114351437650*C[2]^2*C[3]+9.47148968660028526884060305244*C[1]^2*C[3]^2+25.2573058309340935640075160001*C[1]*C[2]^3+2.88541893392242359557175718826*C[2]*C[3]^2+2.45682476133478363578743692990+244.067277170834433206276077475*C[1]^8+426.911159710284251428576733889*C[1]^7+510.779673906625885983845715630*C[1]^6+3.84722524522989812742900958432*C[2]^3+.480903155653737265928626198044*C[3]^3+477.327532846266667336492523326*C[1]^5+3.38457616709093643405230139915*C[3]^2+62.8131451429191336847607267591*C[1]^9+13.2723755696608842609637728496*C[2]+19.9085633544913263914456592743*C[1]+6.63618778483044213048188642478*C[3]+179.649076835886621860340638648*C[1]^3+74.1078679330107581761348206757*C[1]^2+13.5383046683637457362092055966*C[2]^2+333.781852564685764308491722397*C[1]^4 = 0, 153.208201374927776906348144156*C[3]*C[2]*C[1]+25.2573058309340935640075160002*C[3]^2*C[2]*C[1]+166.592145003708480445713497950*C[3]*C[2]^2*C[1]^2+27.7653575006180800742855829918*C[1]^2*C[2]*C[3]^2+622.202337222157152210545008414*C[3]*C[1]^4*C[2]+122.600641574293658725559260697*C[3]*C[1]^3*C[2]^2+281.946607543425907966589002638*C[3]*C[1]^5*C[2]+557.376872396743814877073626908*C[1]^3*C[2]*C[3]+358.002894560559015938580075092*C[1]^2*C[2]*C[3]+75.7719174928022806920225480003*C[1]*C[2]^2*C[3]+197.620981154695352892246744921*C[2]*C[1]+69.7127022912194568273754946252*C[3]*C[1]+714.578012051731012130317887974*C[1]^2*C[2]+203.843531657089854712460709308*C[1]^2*C[3]+1766.16966441999925166853827049*C[1]^3*C[2]+27.0766093367274914724184111932*C[2]*C[3]+212.499788458857123786091673104*C[2]^2*C[1]+434.194467843941394307245960251*C[3]*C[1]^3+3141.52847795726645663051684924*C[1]^4*C[2]+695.149096217665641438222932439*C[2]^2*C[1]^2+2.10477548591117446366729300002*C[1]*C[3]^3+56.0481455973317126914925515018*C[3]^2*C[1]^3+31.8000515624095211125950508054*C[1]^4*C[3]^2+326.935044198116423268158028524*C[2]^3*C[1]^3+496.067395464425598593992907905*C[3]*C[1]^6+1660.92096546186389956430681841*C[1]^5*C[2]^2+181.129142851463591068444931825*C[1]^4*C[2]^3+726.068115319691334493835743184*C[1]^8*C[2]+162.711518113889618962374395509*C[3]*C[1]^7+627.051287609075741531849279370*C[2]^2*C[1]^6+2531.99993528278573714806080616*C[1]^7*C[2]+23.4791535727496075066511538019*C[1]*C[3]^2+222.122860004944640594284663933*C[2]^3*C[1]^2+3906.43615043678594872692364090*C[1]^6*C[2]+657.452062291074999884391101389*C[1]^5*C[3]+4020.50019344406297065713382194*C[1]^5*C[2]+611.306900775620942793452094961*C[1]^4*C[3]+1852.80831764043817945717219767*C[1]^4*C[2]^2+1346.85403641174851926917778882*C[1]^3*C[2]^2+11.5416757356896943822870287530*C[2]^2*C[3]+37.8859587464011407106868431049*C[1]^2*C[3]^2+67.3528155491575828373533760000*C[1]*C[2]^3+5.77083786784484719114351437650*C[2]*C[3]^2+4.91364952266956727157487385979+2387.13450580375819680085929907*C[1]^8+3121.90449400650574350940633190*C[1]^7+3138.64432579147113300113158085*C[1]^6+7.69445049045979625485801916864*C[2]^3+.961806311307474531857252396085*C[3]^3+2431.53578752615368735902504171*C[1]^5+6.76915233418187286810460279831*C[3]^2+281.103926218004500859025906710*C[1]^10+1214.72846326537529041523462352*C[1]^9+26.5447511393217685219275456990*C[2]+50.4730912279207745584225849550*C[1]+13.2723755696608842609637728496*C[3]+686.228505839259171065355245966*C[1]^3+235.509100724406175208513274857*C[1]^2+27.0766093367274914724184111932*C[2]^2+1461.42801532995059826799630151*C[1]^4 = 0, 7.37047428400435090736231078968+407.687063314179709424921418616*C[3]*C[2]*C[1]+75.7719174928022814213736862098*C[3]^2*C[2]*C[1]+836.065308595115722315610440362*C[3]*C[2]^2*C[1]^2+168.144436791995138074477654505*C[1]^2*C[2]*C[3]^2+111.061430002472320297142331967*C[3]*C[1]*C[2]^3+27.7653575006180800742855829918*C[1]*C[2]^2*C[3]^2+3287.26031145537499942195550694*C[3]*C[1]^4*C[2]+127.200206249638084450380203222*C[1]^3*C[2]*C[3]^2+1244.40467444431430442109001683*C[3]*C[1]^3*C[2]^2+122.600641574293658725559260697*C[3]*C[2]^3*C[1]^2+2976.40437278655359156395744743*C[3]*C[1]^5*C[2]+704.866518858564769916472506595*C[3]*C[1]^4*C[2]^2+1138.98062679722733273662076856*C[3]*C[1]^6*C[2]+2445.22760310248377117380837984*C[1]^3*C[2]*C[3]+1302.58340353182418292173788075*C[1]^2*C[2]*C[3]+358.002894560559015938580075092*C[1]*C[2]^2*C[3]+471.018201448812350417026549714*C[2]*C[1]+148.215735866021516352269641351*C[3]*C[1]+2058.68551751777751319606573790*C[1]^2*C[2]+538.947230507659865581021915944*C[1]^2*C[3]+5845.71206131980239307198520604*C[1]^3*C[2]+69.7127022912194568273754946252*C[2]*C[3]+714.578012051731012130317887974*C[2]^2*C[1]+1335.12741025874305723396688959*C[3]*C[1]^3+12157.6789376307684367951252086*C[1]^4*C[2]+2649.25449662999887750280740574*C[2]^2*C[1]^2+25.2573058309340935640075160001*C[3]*C[2]^3+6.31432645773352351256040203496*C[1]*C[3]^3+12.6286529154670467820037580001*C[2]^2*C[3]^2+2.10477548591117446366729300002*C[2]*C[3]^3+211.344764831208915814670185548*C[3]^2*C[1]^3+7.20005467320229588757253538206*C[1]^2*C[3]^3+111.061430002472320297142331967*C[1]*C[2]^4+238.500386718071412970815287708*C[1]^4*C[3]^2+2470.41109018725090594289626356*C[2]^3*C[1]^3+245.201283148587317451118521393*C[2]^4*C[1]^2+181.129142851463591068444931825*C[2]^4*C[1]^3+2988.37811797198976000003713722*C[3]*C[1]^6+109.721226223930092622823355221*C[1]^5*C[3]^2+11719.3084513103578461807709227*C[1]^5*C[2]^2+2768.20160910310649927384469736*C[1]^4*C[2]^3+565.318306286272203162846540832*C[1]^8*C[3]+10932.5561693883776137371116117*C[1]^8*C[2]+2904.27246127876533797534297274*C[1]^7*C[2]^2+1952.53821736667546565020861980*C[3]*C[1]^7+8861.99977348975008001821282156*C[2]^2*C[1]^6+1254.10257521815148306369855874*C[2]^3*C[1]^5+19097.0760464300655744068743926*C[1]^7*C[2]+2811.03926218004500859025906710*C[1]^9*C[2]+57.4530755155979171964227079426*C[1]*C[3]^2+1346.85403641174851926917778882*C[2]^3*C[1]^2+21853.3314580455402045658443233*C[1]^6*C[2]+3064.67804343975531590307429378*C[1]^5*C[3]+18831.8659547488267980067894851*C[1]^5*C[2]+2386.63766423133333668246261663*C[1]^4*C[3]+10051.2504836101574266428345548*C[1]^4*C[2]^2+6283.05695591453291326103369848*C[1]^3*C[2]^2+76.6041006874638884531740720781*C[2]^2*C[3]+136.001112450833566039453512948*C[1]^2*C[3]^2+463.432730811777094292148621626*C[1]*C[2]^3+23.4791535727496075066511538019*C[2]*C[3]^2+14295.0784862597862660994822740*C[1]^8+15419.2846919327017114194783308*C[1]^7+12988.7517416642139784208462738*C[1]^6+16.8382038872893957093383440000*C[2]^4+70.8332628196190412620305577015*C[2]^3+1.44270946696121179778587859413*C[3]^3+8603.52635510176910780764444620*C[1]^5+10.1537285012728093021569041975*C[3]^2+982.222581518989031760243574949*C[1]^11+4638.21478259707435511949025320*C[1]^10+10052.6606516341018431728672421*C[1]^9+50.4730912279207745584225849550*C[2]+91.6935836202883451116448236302*C[1]+19.9085633544913263914456592743*C[3]+1819.06587325966981030289478684*C[1]^3+520.398873394086389608807266267*C[1]^2+98.8104905773476764461233724605*C[2]^2+4510.00238293949012248750841678*C[1]^4 = 0}, {C[1], C[2], C[3]})

(5)

solve({E[1]=0, E[2]=0, E[3]=0}, [C[1],C[2],C[3]]);

Warning,  computation interrupted

 

NULL


Download to_ask.mwto_ask.mw

I want to print 2+3= in the input and get exactly the same output.

And how can i do it in a program?

Hello people in mapleprimes,

I want to solve the next system of equation for B/A and C/A.

eq1:=A+B=F+G;
eq2:=k*(A-B)=kappa*(F-G);
eq3:=F*exp(I*kappa*a)+G*exp(-I*kappa*a)=C*exp(I*k*a);
eq4:=kappa*F*exp(I*kappa*a)-kappa*G*exp(-I*kappa*a)=k*C*exp(I*k*a);


But, though it is well-known, solve({eq1,eq2,eq3,eq4},{B/A,C/A})
does not work well, as the values I want to solve it for are
expressions: B/A and C/A not variables.

Then, you might thing the next works well.
eq:=subs({B=A/t,C=A/u},{eq1,eq2,eq3,eq4}):
solve(eq,{t,u});

But, this doesn't work well, with the answer was
only the ratio of t and u expressed as the following:

t = t, u = exp(I*k*a)*(exp(-I*kappa*a)*k^2-exp(I*kappa*a)*k^2-exp(-I*kappa*a)*kappa^2+exp(I*kappa*a)*kappa^2)*t/(4*kappa*k*exp(I*kappa*a)*exp(-I*kappa*a))

Isn't there nice way to solve the above system of equation, except that
sol1:=solve({eq3,eq4},{F,G});assign(sol1);
sol2:=solve({eq1,eq2},{A,B});assign(sol2);

Best wishes
taro

test.mw

restart; with(LinearAlgebra)

``

dF := -.525*exp(-7*t)+2.625*exp(-3*t)+.8*exp(-4*t);

-.525*exp(-7*t)+2.625*exp(-3*t)+.8*exp(-4*t)

(1)

``

e3 := `<,>`(1, 1, 1); E := proc (m) options operator, arrow; IdentityMatrix(m) end proc; beta := `<|>`(.1, .6, .3); S := `<|>`(`<,>`(-3, 1, 1), `<,>`(1, -5, 2), `<,>`(0, 2, -4)); S0 := -S.e3

beta := Vector[row](3, {(1) = .1, (2) = .6, (3) = .3})

 

S := Matrix(3, 3, {(1, 1) = -3, (1, 2) = 1, (1, 3) = 0, (2, 1) = 1, (2, 2) = -5, (2, 3) = 2, (3, 1) = 1, (3, 2) = 2, (3, 3) = -4})

 

S0 := Vector(3, {(1) = 2, (2) = 2, (3) = 1})

(2)

Z := `<|>`(x, y, z)

Z := Vector[row](3, {(1) = x, (2) = y, (3) = z})

(3)

ME := MatrixExponential(S+Typesetting:-delayDotProduct(S0, Z), t);

`[Length of output exceeds limit of 1000000]`

(4)

MEint := map(int, ME.dF, t = 0 .. infinity)

Error, (in int) wrong number (or type) of arguments: wrong type of integrand passed to definite integration.

 

`&beta;plus&Assign;solve`(Z = beta.MEint, Z)

"(RTABLE(18446744074195006390,VECTOR([x, y, z]),Vector[row])=RTABLE(18446744074193876574,VECTOR([.1, .6, .3]),Vector[row]).MEint) betaplus:=solve (RTABLE(18446744074195006390,VECTOR([x, y, z]),Vector[row]))"

(5)

``

1step- I want to integrate the (ME*dF) from t=0 to ∞ .

2step- Evaluate Z=<x,y,z> by solving Z=β*MEint.

Download test.mw

Hello,

I would like to ask for help with factorization, collection or decomposition of matricies. If I have the symbolic product of matrices:

A := Matrix(2, 2, {(1, 1) = a[11], (1, 2) = a[12], (2, 1) = a[21], (2, 2) = a[22]})

B := Matrix(2, 2, {(1, 1) = b[11], (1, 2) = b[12], (2, 1) = b[21], (2, 2) = b[22]})

then C:= A*B :

Matrix(2, 2, {(1, 1) = a[11]*b[11]+a[12]*b[21], (1, 2) = a[11]*b[12]+a[12]*b[22], (2, 1) = a[21]*b[11]+a[22]*b[21], (2, 2) = a[21]*b[12]+a[22]*b[22]})

and my question follows:

Can I factor this result C and get the imput matrices A and B ? Is any function for this operation ? I would like to use it for matrices 3 time 3 not only for 2 times 2.

Thank you for your help,

vidocq

 

After installing the 18.02 update to Maple 18, the inverse Laplace transform no longer works!

Hi,

 

  I am using maple on Windows 7. I edit .mw file by maplew.exe.

 

  When the source code becomes long, e.g. over 2000 lines, the editing resonse starts to be slow. I can try to edit in other software, e.g. editplus. Is there any way to let maplew works faster?

 

Thank you!

I have a long expression with different order derrivatives, that is written in form like that:

-(D[1](f))(x, y)

I'd like to transform it into standard maple form like:

diff(f(x,y),x)

Is there any special procedure to achieve this goal?

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